• 제목/요약/키워드: Sparse signals

검색결과 69건 처리시간 0.019초

Block Sparse Signals Recovery Algorithm for Distributed Compressed Sensing Reconstruction

  • Chen, Xingyi;Zhang, Yujie;Qi, Rui
    • Journal of Information Processing Systems
    • /
    • 제15권2호
    • /
    • pp.410-421
    • /
    • 2019
  • Distributed compressed sensing (DCS) states that we can recover the sparse signals from very few linear measurements. Various studies about DCS have been carried out recently. In many practical applications, there is no prior information except for standard sparsity on signals. The typical example is the sparse signals have block-sparse structures whose non-zero coefficients occurring in clusters, while the cluster pattern is usually unavailable as the prior information. To discuss this issue, a new algorithm, called backtracking-based adaptive orthogonal matching pursuit for block distributed compressed sensing (DCSBBAOMP), is proposed. In contrast to existing block methods which consider the single-channel signal reconstruction, the DCSBBAOMP resorts to the multi-channel signals reconstruction. Moreover, this algorithm is an iterative approach, which consists of forward selection and backward removal stages in each iteration. An advantage of this method is that perfect reconstruction performance can be achieved without prior information on the block-sparsity structure. Numerical experiments are provided to illustrate the desirable performance of the proposed method.

이진 희소 신호의 L0 복원 성능에 대한 상한치 (Upper Bound for L0 Recovery Performance of Binary Sparse Signals)

  • 성진택
    • 한국콘텐츠학회:학술대회논문집
    • /
    • 한국콘텐츠학회 2018년도 춘계 종합학술대회 논문집
    • /
    • pp.485-486
    • /
    • 2018
  • In this paper, we consider a binary recovery framework of the Compressed Sensing (CS) problem. We derive an upper bound for $L_0$ recovery performance of a binary sparse signal in terms of the dimension N and sparsity K of signals, the number of measurements M. We show that the upper bound obtained from this work goes to the limit bound when the sensing matrix sufficiently become dense. In addition, for perfect recovery performance, if the signals are very sparse, the sensing matrices required for $L_0$ recovery are little more dense.

  • PDF

Sparse Kernel Independent Component Analysis for Blind Source Separation

  • Khan, Asif;Kim, In-Taek
    • Journal of the Optical Society of Korea
    • /
    • 제12권3호
    • /
    • pp.121-125
    • /
    • 2008
  • We address the problem of Blind Source Separation(BSS) of superimposed signals in situations where one signal has constant or slowly varying intensities at some consecutive locations and at the corresponding locations the other signal has highly varying intensities. Independent Component Analysis(ICA) is a major technique for Blind Source Separation and the existing ICA algorithms fail to estimate the original intensities in the stated situation. We combine the advantages of existing sparse methods and Kernel ICA in our technique, by proposing wavelet packet based sparse decomposition of signals prior to the application of Kernel ICA. Simulations and experimental results illustrate the effectiveness and accuracy of the proposed approach. The approach is general in the way that it can be tailored and applied to a wide range of BSS problems concerning one-dimensional signals and images(two-dimensional signals).

L1-norm Minimization based Sparse Approximation Method of EEG for Epileptic Seizure Detection

  • Shin, Younghak;Seong, Jin-Taek
    • 한국정보전자통신기술학회논문지
    • /
    • 제12권5호
    • /
    • pp.521-528
    • /
    • 2019
  • Epilepsy is one of the most prevalent neurological diseases. Electroencephalogram (EEG) signals are widely used for monitoring and diagnosis tool for epileptic seizure. Typically, a huge amount of EEG signals is needed, where they are visually examined by experienced clinicians. In this study, we propose a simple automatic seizure detection framework using intracranial EEG signals. We suggest a sparse approximation based classification (SAC) scheme by solving overdetermined system. L1-norm minimization algorithms are utilized for efficient sparse signal recovery. For evaluation of the proposed scheme, the public EEG dataset obtained by five healthy subjects and five epileptic patients is utilized. The results show that the proposed fast L1-norm minimization based SAC methods achieve the 99.5% classification accuracy which is 1% improved result than the conventional L2 norm based method with negligibly increased execution time (42msec).

Optical Signal Sampling Based on Compressive Sensing with Adjustable Compression Ratio

  • Zhou, Hongbo;Li, Runcheng;Chi, Hao
    • Current Optics and Photonics
    • /
    • 제6권3호
    • /
    • pp.288-296
    • /
    • 2022
  • We propose and experimentally demonstrate a novel photonic compressive sensing (CS) scheme for acquiring sparse radio frequency signals with adjustable compression ratio in this paper. The sparse signal to be measured and a pseudo-random binary sequence are modulated on consecutively connected chirped pulses. The modulated pulses are compressed into short pulses after propagating through a dispersive element. A programmable optical filter based on spatial light modulator is used to realize spectral segmentation and demultiplexing. After spectral segmentation, the compressed pulses are transformed into several sub-pulses and each of them corresponds to a measurement in CS. The major advantage of the proposed scheme lies in its adjustable compression ratio, which enables the system adaptive to the sparse signals with variable sparsity levels and bandwidths. Experimental demonstration and further simulation results are presented to verify the feasibility and potential of the approach.

Sparse Index Multiple Access for Multi-Carrier Systems with Precoding

  • Choi, Jinho
    • Journal of Communications and Networks
    • /
    • 제18권3호
    • /
    • pp.439-445
    • /
    • 2016
  • In this paper, we consider subcarrier-index modulation (SIM) for precoded orthogonal frequency division multiplexing (OFDM) with a few activated subcarriers per user and its generalization to multi-carrier multiple access systems. The resulting multiple access is called sparse index multiple access (SIMA). SIMA can be considered as a combination of multi-carrier code division multiple access (MC-CDMA) and SIM. Thus, SIMA is able to exploit a path diversity gain by (random) spreading over multiple carriers as MC-CDMA. To detect multiple users' signals, a low-complexity detection method is proposed by exploiting the notion of compressive sensing (CS). The derived low-complexity detection method is based on the orthogonal matching pursuit (OMP) algorithm, which is one of greedy algorithms used to estimate sparse signals in CS. From simulation results, we can observe that SIMA can perform better than MC-CDMA when the ratio of the number of users to the number of multi-carrier is low.

Adaptive Compressed Sensing과 Dictionary Learning을 이용한 프레임 기반 음성신호의 복원에 대한 연구 (A Study on the Reconstruction of a Frame Based Speech Signal through Dictionary Learning and Adaptive Compressed Sensing)

  • 정성문;임동민
    • 한국통신학회논문지
    • /
    • 제37A권12호
    • /
    • pp.1122-1132
    • /
    • 2012
  • 압축센싱은 이미지, 음성신호, 레이더 등 많은 분야에 적용되고 있다. 압축센싱은 주로 통계적 특성이 시불변인 신호에 적용되고 있으며, 측정 데이터를 줄여 압축률을 높일수록 복원에러가 증가한다. 이와 같은 문제점들을 해결하기 위해 음성신호를 프레임 단위로 나누어 병렬로 처리하였으며, dictionary learning을 이용하여 프레임들을 sparse하게 만들고, sparse 계수 벡터와 그 복원값의 차를 이용하여 압축센싱 복원행렬을 적응적으로 만든 적응압축센싱을 적용하였다. 이를 통해 통계적 특성이 시변인 신호도 압축센싱을 이용하여 빠르고 정확한 복원이 가능함을 확인할 수 있었다.

확률적 희소 신호 복원 알고리즘 개발 (Development of A Recovery Algorithm for Sparse Signals based on Probabilistic Decoding)

  • 성진택
    • 한국정보전자통신기술학회논문지
    • /
    • 제10권5호
    • /
    • pp.409-416
    • /
    • 2017
  • 본 논문은 유한체(finite fields)에서 압축센싱(compressed sensing) 프레임워크를 살펴본다. 하나의 측정 샘플은 센싱행렬의 행과 희소 신호 벡터와의 내적으로 연산되며, 본 논문에서 제안하는 확률적 희소 신호 복원 알고리즘을 이용하여 그 압축센싱의 해를 찾고자 한다. 지금까지 압축센싱은 실수(real-valued)나 복소수(complex-valued) 평면에서 주로 연구되어 왔지만, 이와 같은 원신호를 처리하는 경우 이산화 과정으로 정보의 손실이 뒤따르게 된다. 이에 대한 연구배경은 이산(discrete) 신호에 대한 희소 신호를 복원하고자 하는 노력으로 이어지고 있다. 본 연구에서 제안하는 프레임워크는 센싱행렬로써 코딩 이론에서 사용된 LDPC(Low-Density Parity-Check) 코드의 패러티체크 행렬을 이용한다. 그리고 본 연구에서 제안한 확률적 복원 알고리즘을 이용하여 유한체의 희소 신호를 복원한다. 기존의 코딩 이론에서 발표한 LDPC 복호화와는 달리 본 논문에서는 희소 신호의 확률분포를 이용한 반복적 알고리즘을 제안한다. 그리고 개발된 복원 알고리즘을 통하여 우리는 유한체의 크기가 커질수록 복원 성능이 우수한 결과를 얻었다. 압축센싱의 센싱행렬이 LDPC 패러티체크 행렬과 같은 저밀도 행렬에서도 좋은 성능을 보여줌에 따라 이산 신호를 고려한 응용 분야에서 적극적으로 활용될 것으로 기대된다.

Block Sparse Signals Recovery via Block Backtracking-Based Matching Pursuit Method

  • Qi, Rui;Zhang, Yujie;Li, Hongwei
    • Journal of Information Processing Systems
    • /
    • 제13권2호
    • /
    • pp.360-369
    • /
    • 2017
  • In this paper, a new iterative algorithm for reconstructing block sparse signals, called block backtracking-based adaptive orthogonal matching pursuit (BBAOMP) method, is proposed. Compared with existing methods, the BBAOMP method can bring some flexibility between computational complexity and reconstruction property by using the backtracking step. Another outstanding advantage of BBAOMP algorithm is that it can be done without another information of signal sparsity. Several experiments illustrate that the BBAOMP algorithm occupies certain superiority in terms of probability of exact reconstruction and running time.

압축 센싱 기반의 신호 검출 및 추정 방법 (A Signal Detection and Estimation Method Based on Compressive Sensing)

  • 응웬뚜랑녹;정홍규;신요안
    • 한국통신학회논문지
    • /
    • 제40권6호
    • /
    • pp.1024-1031
    • /
    • 2015
  • 압축 센싱은 신호가 성긴 (Sparse) 특성을 지니며 선형 측정된 값들이 Incoherent 할 때, 나이퀴스트율 이하로 표본화된 신호를 원본 신호로 정확하게 복구할 수 있는 새로운 신호 획득 이론이다. 본 논문에서는 원본 신호의 Sparse한 정도에 따라 성능이 변화하는 압축 센싱을 이용한 효율적인 신호 검출 및 추정 기법을 제안하며, 이론적 분석과 함께 모의 실험 결과를 보여준다.